Properties

Level $7$
Weight $0$
Character 7.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 10.6717085945 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.723638122\) \(a_{3}=+1.685539857\) \(a_{4}=+1.970928376\) \(a_{5}=-0.388322501\)
\(a_{6}=+2.905260754\) \(a_{7}=+0.377964473\) \(a_{8}=+1.673529162\) \(a_{9}=+1.841044609\) \(a_{10}=-0.669327467\)
\(a_{11}=-1.342913223\) \(a_{12}=+3.322078333\) \(a_{13}=-0.897357204\) \(a_{14}=+0.651473974\) \(a_{15}=-0.654533053\)
\(a_{16}=+0.913630287\) \(a_{17}=+0.555813448\) \(a_{18}=+3.173294673\) \(a_{19}=-0.416957825\) \(a_{20}=-0.765355837\)
\(a_{21}=+0.637074184\) \(a_{22}=-2.314696426\) \(a_{23}=+1.628316734\) \(a_{24}=+2.820800105\) \(a_{25}=-0.849205635\)
\(a_{26}=-1.546719085\) \(a_{27}=+1.417614211\) \(a_{28}=+0.744940905\) \(a_{29}=-0.030810919\) \(a_{30}=-1.128178122\)
\(a_{31}=+0.313755292\) \(a_{32}=-0.098761171\) \(a_{33}=-2.263533762\) \(a_{34}=+0.958021248\) \(a_{35}=-0.146772109\)
\(a_{36}=+3.628567062\) \(a_{37}=+0.062392187\) \(a_{38}=-0.718684402\) \(a_{39}=-1.512531333\) \(a_{40}=-0.649869030\)
\(a_{41}=+0.312949925\) \(a_{42}=+1.098085350\) \(a_{43}=+0.373395673\) \(a_{44}=-2.646785778\) \(a_{45}=-0.714919047\)
\(a_{46}=+2.806628798\) \(a_{47}=-0.907649058\) \(a_{48}=+1.539960263\) \(a_{49}=+0.142857143\) \(a_{50}=-1.463723206\)
\(a_{51}=+0.936845720\) \(a_{52}=-1.768626776\) \(a_{53}=-1.229735475\) \(a_{54}=+2.443453896\) \(a_{55}=+0.521483422\)
\(a_{56}=+0.632534568\) \(a_{57}=-0.702799033\) \(a_{58}=-0.053106874\) \(a_{59}=+0.406384617\) \(a_{60}=-1.290037767\)
\(a_{61}=+0.075903543\) \(a_{62}=+0.540800583\) \(a_{63}=+0.695849455\) \(a_{64}=-1.083858805\) \(a_{65}=+0.348463994\)
\(a_{66}=-3.901513083\) \(a_{67}=+0.216323889\) \(a_{68}=+1.095468497\) \(a_{69}=+2.744592755\) \(a_{70}=-0.252982003\)
\(a_{71}=-0.530884252\) \(a_{72}=+3.081041843\) \(a_{73}=+0.900338508\) \(a_{74}=+0.107541551\) \(a_{75}=-1.431369945\)
\(a_{76}=-0.821794009\) \(a_{77}=-0.507573489\) \(a_{78}=-2.607056666\) \(a_{79}=-1.147486410\) \(a_{80}=-0.354783198\)
\(a_{81}=+0.548400644\) \(a_{82}=+0.539412422\) \(a_{83}=+1.555327073\) \(a_{84}=+1.255627586\) \(a_{85}=-0.215834868\)
\(a_{86}=+0.643599016\) \(a_{87}=-0.051933031\) \(a_{88}=-2.247404441\) \(a_{89}=+1.235393865\) \(a_{90}=-1.232261724\)
\(a_{91}=-0.339169143\) \(a_{92}=+3.209295656\) \(a_{93}=+0.528847051\) \(a_{94}=-1.564458518\) \(a_{95}=+0.161914105\)
\(a_{96}=-0.166465889\) \(a_{97}=+0.902437456\) \(a_{98}=+0.246234017\) \(a_{99}=-2.472363150\) \(a_{100}=-1.673723483\)

Showing 100 of 1228 available coefficients

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